Using perfectly matched layers for elastodynamics

The simulation of elastic waves in inhomogeneous media is important in many applications such as seismic survey, acoustic well logging, and other nondestructive evaluation applications. The perfectly matched layers (PML) has been introduced by Berenger (see Computational Physics, vol.114, p.185-200, 1994) as a material absorbing boundary condition (ABC) for electromagnetic waves. We prove that a fictitious elastodynamic material half-space exists that will absorb an incident wave for all angles and all frequencies. We show two and three dimensional computer simulations of the PML for the linearised equations of elastodynamics. A comparison with Liao's (1984) ABC is also given.